GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
1/2+1/2+1/2+1/
[#permalink]
05 Feb 2024, 01:34
05 Feb 2024, 01:34
Expert Reply
2
Bookmarks
00:00
Question Stats:
66% (02:13) correct
33% (01:13) wrong based on 6 sessions
Hide Show timer Statistics
\( y= \frac{1}{2+\frac{1}{2+\frac{1}{2+\frac{1}{\infty\)
The expression of y above extends to infinity. Which of the following is correct regarding y?
Indicate all that apply
A. \(y^2=2y-1\)
B. \(y^2=1-2y\)
C. \(y=\sqrt{2} -1 \)
D. \(y=\dfrac{1}{\sqrt{2}}\)
The expression of y above extends to infinity. Which of the following is correct regarding y?
Indicate all that apply
A. \(y^2=2y-1\)
B. \(y^2=1-2y\)
C. \(y=\sqrt{2} -1 \)
D. \(y=\dfrac{1}{\sqrt{2}}\)
Part of the project: GRE-Problem Solving Practice Questions Special Edition {PS,MAC, & NE} - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
1/2+1/2+1/2+1/
[#permalink]
06 Apr 2024, 03:52
06 Apr 2024, 03:52
Expert Reply
Attachment:
gre fraction (10).jpg [ 8.31 KiB | Viewed 596 times ]
essentially the portion in red is y
Therefore
\(y=\frac{1}{2}+y
\)
\(2y+y^2=1\)
\(y^2+2y+1=1+1\)
\((y+1)^2=2\)
\(y+1= \pm \sqrt{2}\)
\(y= \pm \sqrt{2}-1\)
Since y consists of all positive terms, y > 0
B and C are the correct answers
gmatclubot
1/2+1/2+1/2+1/ [#permalink]
06 Apr 2024, 03:52
Moderators:
